LB Circle Equation: Center (0,0)- Position of a point

For the questions below, be sure to zoom out if you need to!

1.

Suppose [i]P(x,y)[/i] = any point that lies on a circle with center (0,0) and radius 5. [br]Use what you've observed to write an equation that expresses the relationship among [i]x[/i], [i]y[/i], and [i]r[/i].

Position of a point in relation to the circle.

Is the point (4,-3) inside, outside or on this circle?

Outside On Inside

Position of a point shown Algebraically.

How can this be shown using the equation of the circle in part one?

Position of a point

Is the point (5.6) inside, outside or on the circle centred at (0,0) with radius 5?[br][br]

On Inside Outside

Investigate if using the equation of the circle supports what you are seeing in the diagram.

How would you use the equation of the circle to determine the position of a point?

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